About 5% of hourly paid workers in a regioner the prevailing minimum wage or less A grocery chain offers discount rates to companies that have at least 30 employees who earn the prevailing minimum wage or less Complete parts

through (c) below

(a) Company Ahas 281 employees What is the probability that Company A will get the discount?

(Round to four decimal places as needed)

Answer:

0

Step-by-step explanation:

Let X  to be a random variable that looks a binomial distribution which denoted the number of employees out of the 281 who earn the prevailing minimum wage or less

The sample size n = 281

The population parameter p = 5% = 0.05

Using normal approximation for the mean.

[tex]\mu = np[/tex]

[tex]\mu = 281\times 0.05[/tex]

[tex]\mu = 14.05[/tex]

The standard deviation is:

[tex]\sigma = \sqrt{np(1-p)}[/tex]

[tex]\sigma = \sqrt{281 \times 0.05(1-0.05)}[/tex]

[tex]\sigma = \sqrt{281 \times 0.05(0.95)}[/tex]

[tex]\sigma = \sqrt{13.3475}[/tex]

[tex]\sigma =3.6534[/tex]

By using continuity correction; the sample mean x is:

x = 30 - 0.5

x = 29.5

The z statistic test can now be as follows:

[tex]Z = \dfrac{x-\mu}{\sigma}[/tex]

[tex]Z = \dfrac{29.5-14.05}{3.6534}[/tex]

[tex]Z = \dfrac{15.45}{3.6534}[/tex]

Z = 4.23

Thus, the probability that company A will get a discount is

P(X ≥ 30) = P(Z >4.23)

= 1 - P(Z < 4.23)

By using the Excel function for the z score 4.23 i.e. "=1 - NORMSDIST(4.23)" we get;

= 0.0000

Let X be a random variable that shows how many employees out of 281 earn the prevailing minimum wage or less.

X does have a binomial distribution with parameters [tex]n = 281 \ \ and\ \ p = 0.05[/tex]:

Since [tex]np \ \ and\ \ n(1-p)[/tex] are greater than 5, X does have a normal distribution of parameters when using the normal approximation.

[tex]\to \mu= np=281 \times 0.05= 14.05[/tex]

Calculating the standard deviation:

[tex]\to \sigma=\sqrt{np(1-p)}\\\\[/tex]

       [tex]= \sqrt{281 \times 0.05 (1-0.05)}\\\\=\sqrt{281 \times 0.05 \times 0.95}\\\\ =\sqrt{14.05 \times 0.95}\\\\ =\sqrt{13.3475}\\\\=3.653[/tex]

Continuity correction is required in this case. The z-score for [tex]X = 30-0.5 = 29.5[/tex]:

[tex]\to z= \frac{X- \mu}{\sigma}[/tex]

      [tex]=\frac{29.5-14.05}{3.653}\\\\=\frac{15.45}{3.653}\\\\=4.2294\\\\[/tex]

The likelihood that Company Its will receive the discount:

[tex]\to P(X\geq 30)=P(z>4.229)=0.0000117\approx \ 0.0000[/tex]

Therefore, the final answer is "0".

Learn more about the discount:

brainly.com/question/16051609

Which statement is false?
All angels in an acute triangle are
acute
All angles in an obtuse triangle are
obtuse
A right triangle has a 90-degree
angle
A triangle can not have a right
anale and an antuse anale

Solve these plsssssssssss

Find the area of the given composite shape using the appropriate Trig Ratio. Round your answer to the nearest whole number. *

About 300 square meters
About 121 square meters
about 45 meters
About 199 square meters

(3х – 6)(2x+2)

simplify by multiplying

Given g(x)=-2x+3, solve for x when g(x)=-3

help with math and tell me how you for the answer
​

Tessa takes her friends out to lunch and the total cost of the meal is $120.30. Tessa left a 20% tip for the waitress. How much money did Tessa give to the waitress as a tip

Solving an Inequality
Solve
Can someone please help on this??

i need help someone plz help me ty ✌

Ha sry I know I am asking a lot from y’all but I really need help

A recipe calls for 3 4/5 cups of flour. However, Stacy wants to use half as much flour as the recipe calls for. How many cups of flour will Stacy use? Express your answer as a mixed number.

-3 x 2 x a + 5(-7b) + (12 x c x 4) in standard form?

Solve the function x + 10y = 8 for x

Marcella purchased a car using a simple interest loan. The loan had an interest rate of 5.5% and was for 3 years. Marcella paid $231 in interest. The principal amount of the loan was for $_____ .

Which of the following is most likely to form when one tectonic plate is pushed with great force under another tectonic plate below the ocean? (4 points)

a
Continental rift

b
Fault

c
Mid-ocean ridge

d
Tsunami

Jimmy and 4 of his friends went out to eat. They decided to split the bill evenly. Each person paid $13. What was the bills total?

a laptop has a listed price of $595.99 before tax. If the sales tax rate is 6.75%, find the total cost of the laptop with sales tax included. Round your answer to the nearest cent, as necessary. PLS HELP

Y varies directly as x, y = 15
when x = 5. Find y when x=
6

What is the range of this function?

A loan of 43,000 is made of 4% interest, compounded annually. After how many years will the amount due reach $66,000 or more?

Sara has 45 boxes. Bob has two times as many boxes as Sara. How many boxes does Bob have?

a 47
b 83
c 85
d 90

The radius of a circle is 6 inches. Which choices best represents the circle's area? Use π≈3.14po WILL GIVE 100 POINTS IF CORRECT ONLY / BRAINLIST CORRECT ANSWER ONLY WARNING CORRECT ANSWER ONLY MAKE SURE YOU HAVE A FULL EXPLANATION TWO CORRECT ANSWER ONLY YOU WILL GET 100 POINTS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Question 1 options:

18.84 inches squared

37.68 inches squared

452.16 inches squared

113.04 inches squared

A biologist recorded the population growth of two species of frogs in a pond area starting in 2010. The first species started with 42 frogs and increased by 6 frogs per year. The second species started with 30 frogs and increased by 8 frogs per year.

make an equation modeling equal populations of the frogs at T years after 2010.

NEED ANSWER ASAP!! WILL GIVE POINTS AND MARK AS BRAINLIEST!!!

For all values of x
f(x) = 2x - 3 and g(x) = x2+ 2
(a) Find g (-4)
Answer

BRAINILEST TO WHO ANSWERS FIRST

Factor x^2−2x−8

2 movie tickets and 1 popcorn cost $29. 4 movie tickets and 4 popcorns cost $68. How much does 1 movie ticket cost?

A:$5
B:$12
C:$10
D:$9

Find the slope and the y-intercept of the graph of the linear equation.
Y = -1​

Write an equation of the line with the given y-intercept and the slope in slope-intercept form m=1/3; b=-1

BRAINLIEST TO WHOEVER ANSWERS FIRST!
What is the next step in constructing an angle (MNO) congruent to the given angle (ABC) with a straightedge and a compass?
B
N.
E
1. Draw a ray. Label it NO
2. Using B as the center and any radius, draw an arc which intersects BA and BC. Label the intersection points D and E.
3. ?
O Draw a ray NM
Using N as the center and the same radius as before, draw an arc that intersects NO. Label the arc PQ where Q intersects NO.
Using N as the center and any radius, draw an arc which intersects NM and NO. Label the interception points P and Q.
With a straightedge, connect points D and E.